A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A, but A contains at least one element that is not in B. For example, if A={1,3,5} then B={1,5} is a proper subset of A.
What is a subset explained with an example?
A set A is a subset of another set B if all the elements of set A are elements of set B. For example, if A is the set {♢,♡,♣,♠} and B is the set {♢,△,♡,♣,♠} then A⊂B but B⊄A. … Since B contains elements not contained in A, we can say that A is a proper subset of B.
How do I find the right subset?
If a set contains n elements, then the number of proper subsets of the set 2n is 1. In general, the number of proper subsets of a given set = 2m 1, where m is the number of elements.
How many suitable subsets are there?
A true subset is a subset that is not identical to the original set – it contains fewer elements. You can see that there are 16 subsets, 15 of which are real subsets.